Sarah drew lines to form triangles and stars. Sarah formed a total of 15 triangles and stars. She drew 59 more lines for the stars than for the triangles. How many stars did she form?
Number of Stars |
Lines drawn for the stars |
Number of Triangles |
Lines drawn for the triangles |
More lines for the stars |
15
|
15 x 10 = 150 |
0 |
0 |
150 - 0 = 150 |
14 |
14 x 10 = 140 |
1 |
1 x 3 = 3 |
140 - 3 = 137 |
8 |
8 x 10 = 80 |
7
|
7 x 3 = 21 |
80 - 21 = 59 |
Number of lines drawn if all the shapes were stars
= 15 x 10
= 150
Small difference
= 10 + 3
= 13
Big difference
= 150 - 59
= 91
Number of triangles that Sarah drew
= 91 ÷ 13
= 7
Number of stars that Sarah drew
= 15 - 7
= 8
Answer(s): 8